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Finding the Fourth Proportional to 80,411.20, 120,616.80 and 38,939.20

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Solution

The fourth proportional to 80,411.20, 120,616.80 and 38,939.20 is: 58,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,411.20 : 120,616.80 = 38,939.20 : x
  2. Step 2: Convert to fraction form
    80,411.20/120,616.80 = 38,939.20/x
  3. Step 3: Cross multiply
    80,411.20x = 120,616.80 × 38,939.20
  4. Step 4: Simplify right side
    80,411.20x = 4,696,721,698.56
  5. Step 5: Solve for x
    x = 4,696,721,698.56/80,411.20
  6. Step 6: Final answer
    x = 58,408.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.